a friend of mine came up with this as the answer. I'm not sure if it's right though.
Va = - Vb
so let's just write Vi as V
V²/R = GM/R²
V = √(GM/R)
now using the formula for an inelastic equation to find Vf
mV - 2mV = 3mVf
Vf = -V/3
replace v with √(GM/Ri)
Vf = -[√(GM/Ri)]/3
Then move on...
By plugging the speed in do you just mean putting in the variable and manipulating the formula so the radius is isolated? Because the speed itself is unknown even though I know the speeds are the same.
Homework Statement
Two satellites have mistakenly been put in identical Earth orbits of radius R. Satellite A with mass "m" is orbiting clockwise while satellite B with mass "2m" is orbiting counterclocwise. The two satellites have a head on collision and move as one body after the collision...